Welcome, they are very reliable with a few potential problem areas. Be sure to get a spare RCM, crank position sensor (BOSCH) and cam position sensor (BOSCH). You may never need them but they are weak points. Be sure to have two functioning keys and FOBs. They also require strong batteries. Do not let your battery get too old and if it sits a lot, get a trickle charger. Try to avoid jump starts. There is a lot of good info here.

Index of Crossfire problems and repairs - CrossfireForum - The Chrysler Crossfire and SRT6 Resource

As you said, you only hear about the problems. They are mostly 15 - 17 years old so things go bad but 90% of any repairs you can do yourself. Except for body parts they are basically a 2003 Mercedes SLK 320 (unless you have an SRT-6 then it is a 2003 SLK32 AMG) and most parts are interchangable. Do not go to any dealerships. If you need to have work done, find a good independent import shop that works on Mercedes.